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3 years ago

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Mathematics

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SIZIF [17.4K]3 years ago

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Pi is equal to 3.14...

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Identify the recursive formula for the sequence given by the explicit formula An) = 20

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3 years ago

Find the distance between the points (2, 7) and (-6, -2).

maw [93]

Answer:

Approximately 12.04 units.

Step-by-step explanation:

The find the distance between any two points, we can use the distance formula, which is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

We have the points (2,7) and (-6,-2). Let's let (2,7) be (x₁, y₁) and let's let (-6, -2) be (x₂, y₂). Substitute:

$d=\sqrt{(-6-2)^2+(-2-7)^2$

Subtract:

$d=\sqrt{(-8)^2+(-9)^2$

Square:

$d=\sqrt{64+81}$

Add:

$d=\sqrt{145}$

Approximate

$d=\sqrt{145}\approx12.04$

So, the distance between (2,7) and (-6,-2) is approximately 12.04 units.

And we're done!

7 0

3 years ago

What is the length of the ladder? It is 6 ft. from the house at the bottom and touches the wall 14 ft. up at the top. Simplify y

Sauron [17]

Answer:

15.2

${c }^{2} = {a}^{2} + {b}^{2} \: \\ {c}^{2} ={6}^{2} + {14}^{2} \\ {c}^{2} = 36 + 196 \\ {c}^{2} = 232 \\ \sqrt{c } = \sqrt{232} \\ c = 15.23154621$

4 0

2 years ago